(12/5/95) 

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MathMagic Cycle 19: Level 10-12 Regular 

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The North Pole folks have to buy in bulk. While shopping for some hardware
items, one of the operators noticed that for identical crates of goodies,
two competing hardware stores had different prices. One was $1,122.00 and
the other was $2,210.00. Each crate was from the same manufacturer, and
had the same number of items. What are the possible costs for each item?

(HINT: Some may be under $1)

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MathMagic Cycle 19: Level 10-12 Advanced 

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Angela Dunn's (author of Mathematical Bafflers) house is on a road where
the numbers run 1,2,3,4... consecutively. By a curious coincidence, the
sum of all house numbers less than hers is the same as the sum of all 
house numbers greater than hers. What is her number, and how many houses
are there on her road if her house number is in the thirties?

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Good luck and happy holidays
MrH